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Finding the Fourth Proportional to 6,005.40, 9,016.20 and 4,774.20

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Solution

The fourth proportional to 6,005.40, 9,016.20 and 4,774.20 is: 7,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.40 : 9,016.20 = 4,774.20 : x
  2. Step 2: Convert to fraction form
    6,005.40/9,016.20 = 4,774.20/x
  3. Step 3: Cross multiply
    6,005.40x = 9,016.20 × 4,774.20
  4. Step 4: Simplify right side
    6,005.40x = 43,045,142.04
  5. Step 5: Solve for x
    x = 43,045,142.04/6,005.40
  6. Step 6: Final answer
    x = 7,167.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.